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A linear equation in n variables, x1, x2, ..., xn is an equation of the form
a1x1 + a2x2 + ... + anxn = y where the ai are constants.
A system of linear equations is a set of m linear equations in n unknown variables. There need not be any relationship between m and n. The system may have none, one or many solutions.
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What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
What are two or more linear equations using the same variables called?
A system of linear equations.
What is the point at which the lines intersect in a system of linear equations?
The coordinates of the point of intersection represents the solution to the linear equations.
Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
What are the linear systems?
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
What are two or more linear equations using the same variables called?
A system of linear equations.
What is a group of linear equations that use the same variables?
a system of equations
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
What is the point at which the lines intersect in a system of linear equations?
The coordinates of the point of intersection represents the solution to the linear equations.
What is the classification of a system of equations?
The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.
How can you solve a system of equations?
The answer depends on whether they are linear, non-linear, differential or other types of equations.
